Thermodynamics Question 308
A monatomic gas undergoes a process given by $ 2dU + 3dW = 0 $, then the process is
Options:
A) isobaric
B) adiabatic
C) isothermal
D) none of these
Show Answer
Answer:
Correct Answer: B
Solution:
$ dQ=dU+dW=dU+\frac{2dU}{3}=\frac{5dU}{3} $
$ =\frac{1}{3}n{C _{\upsilon }}dT=\frac{1}{3}n\frac{3}{2}RdT=\frac{nRdT}{2} $
$ \Rightarrow $ $ C=\frac{1}{n}\cdot \frac{dQ}{dt}=\frac{R}{2} $
Which is not equal to 0, infinity or 5R/2.